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# On a sight seeing tour bus, the ratio of women to children

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Senior Manager
Joined: 07 Feb 2008
Posts: 293
On a sight seeing tour bus, the ratio of women to children  [#permalink]

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03 Oct 2008, 14:32
On a sight seeing tour bus, the ratio of women to children is 5:2.

What is the number of men on the sight seeing tour?

(1) The ratio of the number of children to the number of men is 5:11
(2) the number of women is less than 30.

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Intern
Joined: 29 Sep 2008
Posts: 46

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03 Oct 2008, 14:41
2 is clearly insuff as sodesnt talk abt men

1 -

women : children 5 : 2 => 25 : 10 (added a factor of 5 on children side, need it for the other ratio)

men : children 11 : 5 => 22 : 10

children : 10x
women : 25x
men : 22x

for no. of women to be an integer and below 30 it can be only 25

sufficient

B
Senior Manager
Joined: 21 Apr 2008
Posts: 456
Schools: Kellogg, MIT, Michigan, Berkeley, Marshall, Mellon

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05 Oct 2008, 04:17
Hi,

IMO: C

1
Insuff. but we get a helpful expression
m=22w/25 (where m are men and w are woman)

2
Insuff.

1+2
The only number of woman that satisfies 1 and 2 is w=25, therefore, men are 22.

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Manager
Joined: 27 Sep 2008
Posts: 76

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05 Oct 2008, 04:48
Agree with (C)

W:C = 5:2

statement 1

C:M = 5:11

W:C:M = 25:10:22 or 50:20:44 ...

statement 2

both statements

W:C:M = 25:10:22

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This is not a quality discussion. It has been retired.

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Re: Tour bus &nbs [#permalink] 05 Oct 2008, 04:48
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# On a sight seeing tour bus, the ratio of women to children

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